02 10 21 34 49 70
01 1 1 2 3 4 5 p.12~20 2 5 25 2 4 6 8 9 0 4 6 8 8 9 0 1 2 8 1 2 5 2 7 2 2 57 3 4 5 6 7 8 9 6 10 m n 11 12 20 13 14 23.5 <26.5 15 13 16 =65=85 17 18 75 19 13 20 51kg 21 536 22 25 23 10 6 12 10 8 6 4 2 0 13 16 19 22 25 28 31 34 37 0.3 7 4 8 5 9 10 10 35% 11 26 12 13 35% 14 0.28 15 54 16 5 25% 17 163534 18 16.1cm 19 14 20 80 21 47.5% 22 44.075g 23 10 24 65 25 15 26 18% 27 28 168165 29 13.1% 30 66 31 24 ;2(; 25 26 p.30~41 27 44 28 80 29 14 30 =8y=5z=11 31 55 1 d e 32 b c 0 a f a=bc=de=f 1 26 2 8 3 59kg 4 5 80 p.21~29 2 12 3 55% 227 2
4 =2y=10z=7 5 16%25% 6 22 7 0.25 8 73 9 85 10 0.1 11 37 12 16 13 45 14 15 16 m=20.2 =83y=78 17 40 18 40% =6y=3 15 19 42 85 20 20 21 4 22 100 23 119 24 32.5m 24 0.26 26 0.152 27 156.4cm 28 29 50 30 52% 31 12 32 20 33 02 p.52~61 1 2 3 4 5 6 7 8 9 10 11 12 6 13 14 15 16 17 86.5 18 75.25 19 6126 20 173.9 21 ceg 22 23 6cm 24 y= 25 145 26 90 27 105 28 6 29 210 30 360 31 69 55 54 32 56 50 120 1 p.42~43 : 3 6ª5º:=6 6 6 6 6 6 2 12 3 73.3% 4 3 p.62~72 1 165 30 2 360 30 3 60 4 115 5 64 6 113 7 60 8 -y 9 =37.5 y=105 10 32 11 139 12 60 13 20cm 3
14 15 2 7 5 16 4 17 61 18 70 19 90 20 75 21 22 355 +y=180 23 30 24 a=40 b=140 c=40 d=80 e=40 f=140 25 k n 26 180 27 60 18 28 =90 y=45 =100 y=80 =60 y=90 29 360 30 31 155 68 32 60 33 5 21;1ª1;5 32;1 1; 5 16;1 1;5 38;1 1; 5 10;1!1);5 43;1 1; 5 27;1 1; 13 140 14 20 15 80 16 420 17 195 18 126 19 121 20 65 20 21 78 22 75 23 50 24 =35 =42 =98 y=51 25 G=180-80 =100 =G // =130-85 =45 +=135 +45 =180 180 // 26 78 30 27 =30 y=25 =25 y=35 z=120 28 225 29 180 30 220 31 7 15;1 1; 32 69 33 280 p.73~83 1 30 110 77 2 180 -(a+b) 3 80 4 20 5 240 6 7 70 8 6 9 50 10 60 11 250 12 640 1 12 2 30 3 6 4 5 56 p.84~85 4
03 1 2 3 4 5 5 11 6 7 8 9 10 SS 11 12 b-c <a<b+c 13 14 15 16 17 S 18 Q P R O 19 20 21 5cm 22 126 23 120 24 108 p.91~98 8 9 10 11 S 12 13 YI PHXHPX 14 S 15 SS 16 17 800m 18 SS 135 30 18cm 2 19 30 20 SS 21 22 39cm 2 p.106~113 1 SS 2 S 3 4cm 2 4 8cm 5 50cm 2 6 60 7 23 8 23cm 2 9 121 10 60 11 36 64cm 2 12 80cm 2 13 60 14 45 15 2 p.99~105 1 2 3 4 a>4 5 6 7 SS 60 16 P P = P=PP=P ( ) P=P P P(S) P =P 17 G = =G =90 + =G G(SS) 5
90 18 108 19 60 13 20 30 21 98cm 2 90 22 140 23 11cm 24 2acm 7 8 31 9 5cm 10 a+b+c 11 27 12 180 13 360 14 85 15 180 16 30 17 40 18 9 15 72 90 108 126 144 19 20 20 110 21 154 22 8cm 23 148 24 7cm 2 1 5.5cm 2 p.114~115 25 165 26 112 27 0 28 100 29 97 30 4pcm 2 P Q 31 95 77 32 27.5 33 30 34 1440 35 2rcm 3 ;:!5@:^;cm 2 4 8cm 04 1 22.5 2 =36 =108 p.134~144 1 2 3 3 20 30 45 105 180 4 180 _(n-2) 3 900 45 12 27 150 360 p.122~133 5 144 56pcm 2 240 24cm 2 p 135 3cm 6 90 2p 3 45 135 1.5 4 130 5 90 6 120-7 80 8 195 9 68 10 50 150 ;2%;pcm ;; 4 ;;pcm 2 11 2 4 {;; 3º;;p+24}cm 12 220 13 50 14 6 15 96 16 540 17 18pcm 2 6
18 150 19 4+2y-180 20 65 21 51 22 131112 23 150 24 24pcm 2 25 72 26 210 27 30 45 180-4 18 28 112 45 100 29 ;; 2 ;;pcm 2 25cm 2 (25p-50)cm 2 30 61 31 58 130 32 56 93 33 (2p+8)cm 50cm 2 {;; 2 ;;-;; 4 ;;p} cm 2 14 ;2%;pcm {50-;; 2 ;;p}cm 2 {;; 2 ;;p-25} cm 2 15 (200p-400)cm 2 50cm 2 8pcm 2 (50p-100)cm 2 16 2ap+8a8a 2-2a 2 p 17 {;; 9 ;;p+12} cm ;; 9 ;;pcm 2 18 19pcm 2 19 (16p-32)cm 2 12pcm {;; 2 ;;p-25} cm 2 {;; 2 ;;p+10} cm 20 (8p-25)cm 2 p.145~155 1 41 118 2 90 3 180 4 150 5 =60 y=120 6 80 7 540 900 540 8 110 9 (12p-16)cm 2 (6p+8)cm 10 16pcm 40pcm 2 11 36 12 24pcm 2 (4p+24)cm (108-18p)cm 2 21 (4p+8)cm 2 (25p-50)cm 2 22 4a+2b p 3 23 (16p+216)m 2 24 ;:!3):);p cm 2 12pcm 2 25 pcm 2 26 (8p+12)cm 27 360 28 125 55 35 29 ;3!; 30 (9p+14)cm (36p+56)cm 2 31 159 78 39 117 63 120 +;3!; ;3@; ;3!; 180 - (6p+24)cm 13 (9p-12)cm 2 (16p-32)cm 2 7
1 {;; 4 ;;p+12}cm 2 2 6pcm 3 ;; 9º;;pcm 4 P p.156~157 27 27pcm 2 960cm 2 28 85pcm 2 29 30 (50p+100)cm 2 r(a+2r)p 31 72cm 2 32 76cm 2 49pcm 2 05 1 288pcm 3 18 4cm 64cm 2 6cm p.173~182 p.164~172 1 8 4 12 12 6 (n+1) 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 V=;; 3 ;;pa 3 S=16pa 2 18 ;3*;cm 19 4cm 20 135 21 27 22 23 54pcm 3 24 6 p 25 26 384pcm 3 2 216pcm 2 3 1536pcm 3 4 144pcm 2 5 ;; 3 ;;cm 3 6 24pcm 2 7 224cm 2 8 486pcm 3 9 510cm 3 10 324pcm 3 11 85 12 48cm 3 ;; 3º;;pcm 3 13 24pcm 3 50cm 3 14 412cm 2 r(a+b)p 15 (12p+12)cm 2 16 2048cm 3 17 968cm 3 18 1008pcm 3 19 240pcm 2 20 4400pcm 3 21 H G H G 8
H G 22 56pcm 2 23 120pcm 2 24 150pcm 3 25 26 13 200pcm 3 210pcm 2 14 ;:@3%:^;pcm 3 15 30pcm 2 50pcm 3 16 68pcm 2 17 (240-5p)cm 3 18 (36p+24) cm 3 19 60 ;6%;a 3 20 102cm 2 48cm 3 27 ;; 5 ;; m (4p+84)cm2 28 ;; 5 ;;pcm 3 35 29 14pcm 3 30 ;2#; ;2!; ;2#; 4 {60-;2%;p} cm 3 21 120pcm 2 100pcm 3 4cm 128 2 8 22 {1- }cm p p 3 23 3pcm ;2(;cm 2 15pcm 2 (24p-24)cm 3 1 17 2 204pcm 3 (58p+408)cm 2 p.183~193 24 336cm 3 360cm 2 25 648cm 2 26 2cm 27 700pcm 3 : ;3@; :pcm 3 3 63pcm 2 4 13 5 264pcm 3 6 : ;3@; :pcm 3 106pcm 2 7 39000cm 3 8 11 213 54pcm 2 9 147 : 3 :pcm 3 : ;9@; :pcm 3 28 ;:%3$:$;p 29 19cm 18cm 30 576cm 3 10 672pcm 3 360pcm 2 11 440pcm 2 400pcm 3 12 HHH H 1 (320p+640)cm 3 1 2340pcm 3 3 36cm 3 4 7424cm 2 p.194~195 9
01 1 1 2 57 3 4 5 6 7 8 9 6 10 m n 11 12 20 13 14 23.5 <26.5 15 13 16 =65=85 17 18 75 19 13 20 51kg 21 536 22 25 23 10 24 ;2(; 25 26 27 44 28 80 29 14 30 =8y=5z=11 31 55 32 1 2 3 4 5 2 p.12~20 2 5 25 2 4 6 8 9 0 4 6 8 8 9 0 1 2 8 1 2 5 2 7 2 57 57 3 4 5 +y 6 =42 2 +y=84 7 8 y 9 20 22 22 24 24 26 26 28 10
28 30 30 32 6 10 m n 11 12 = 100_0.2=20 13 20 20 18 90 2 80 2+7=9 70 9+19=28 15 70 80 75 19 5+8=13 _ 20 = 2_40+5_50+3_60 = 10 =51(kg) 14 25-;2#; <25+;2#; 23.5 <26.5 15 = ;2@;;1#;=13 21 400600 50-(5+9+16+6)=14 (100_5+300_9+500_14 +700_16+900_6) 50 =26800 50=536 [16~19] 40 ~ 50 50 ~ 60 60 ~ 70 70 ~ 80 80 ~ 90 90 ~100 45 55 65 75 85 95 5 8 15 19 7 2 56 23 7+3=10 24 9 2 ;2(; 25 _;2!; 16 17 10 10 20 10 30 26 01 11
27 30 200_0.58=116 =116-52=64 =200-116-35-29=20 -=64-20=44 28 4 12+20+16=48 ;5#; 48 ;5#;=80 29 45 80-48-=32- ={1.5_12+2.5_20 +3.5_16+4.5_(32-) +5.5_} 80 =3.525 18+50+56+144-4.5+5.5=282 =14 30 =40_0.2=8 y=40-(4+8+12+7+4)=5 z=50-(6+10+17+5+1)=11 31 50 60 55 32 8595 01 p.21~29 1 26 2 8 3 59kg 4 5 80 6 0.3 7 4 8 5 9 10 10 35% 11 26 12 13 35% 14 0.28 15 54 16 5 25% 17 163534 18 16.1cm 19 14 20 80 21 47.5% 22 44.075g 23 10 24 65 25 15 26 18% 27 28 168165 29 13.1% 30 66 31 1 26 [31~32] 40 ~ 50 50 ~ 60 60 ~ 70 70 ~ 80 80 ~ 90 90 ~100 45 55 65 75 85 95 0.1 0.2 0.3 0.175 0.125 0.1 0.12 0.2 0.34 0.22 0.1 0.02 2 46kg 55kg 46kg 48kg48kg50kg50kg51kg 52kg54kg 8 3 8 59 59kg 4 46kg 26 12
10 5 = = 32 = =80 0.4 6 16 19 4 25 28 828 31 40-(2+4+9+12+8+1+1) =3 12 10 8 6 4 2 0 ;4!0@;=0.3 13 16 19 22 25 28 31 34 37 7 12 37 37-6=31 37+6=43 7 19 19 31 31 43 43 55 55 67 =(7+19) 2=13 =(55+67) 2=61 5-=5_13-61=4 45+43+23+17+ 8 =28 5 128+=140 =12 12 5 9 2+8=10 10 (40-12) 2=14 70 ;4!0$;_100=35(%) 11 7080 40-(14+2+8)=16 8+2+16=26 12 =(64+67+69+72+75+76+76+78 =+80+81+83+84+85+87+89 =+90+91+92+94+98) 20 =1631 20=81.55 81 13 1+1+2+4+5+3+2+2 =20 20 ;2 0;_100=35(%) 14 2+5+11+16+27+28 +11=100 ;1 0 0;=0.28 15 52g 61g 40% 61g 100-40=60(%) 61g _100=60 30+36+42 5+13+a+30+36+42 a=54 =0.6 01 13
16 2 ~ 4 4 ~ 6 6 ~ 8 8 ~ 10 10 ~ 12 12 ~ 14 14 ~ 16 26 18 10 4 1 0 1 60 (3_26+5_18+7_10+9_4 +11_1+13_0+15_1) 60 =300 60=5 612 10+4+1=15 30+100+17.5a+225+110 =17.75_(26+a) 465+17.5a=461.5+17.75a a=14 20 7 0.0875=80 21 80_0.1125=9 32g 56g 80-(9+12+13+8)=38 ;8#0*;_100=47.5(%) ;6!0%;_100=25(%) 17 1 1 2 2 1 2 3 3 4 1 3 2 3 5 1 2 3 1 5+11=16 2 4+5+15+11=353 8+15+11=34 18 +6cm -10.1cm 6-(-10.1)=16.1(cm) 19 17 45 17.75 =(7.5_4+12.5_8+17.5_a +22.5_10+27.5_4) (4+8+a+10+4)=17.75 22 50g 56g 80_0.075=6 44g 50g 38-(8+7+6)=17 =(23_9+29_12+35_8 +41_7+47_17+53_6 +59_13+65_8) 80 =3526 80=44.075(g) 24 65 25 50_0.3=15 26 (0.14+0.04)_100=18(%) 27 14
28 50kg 55kg 0.28 0.3 =0.28_600=168 =0.3_550=165 29 60kg 65kg 0.160.1 600_0.16=96 550_0.1=55 96+55 _100=13.13?13.1(%) 1150 30 1 150cm (0.15+0.2)_40=14 1 150cm (0.05+0.15)_400=80 1 1 150cm 80-14=66 01 1 1 2 12 3 55% 227 4 =2y=10z=7 5 16%25% 6 22 7 0.25 8 73 9 85 10 0.1 11 37 12 16 13 45 14 15 16 m=20.2 =83y=78 p.30~41 17 40 18 40% =6y=3 15 19 42 85 20 20 21 4 22 100 23 119 24 32.5m 25 0.26 26 0.152 27 156.4cm 28 29 50 30 52% 31 12 32 20 33 d e 31 ;4!0$;=0.351 160cm b c 180cm 0.35 1 14 160cm 1 160cm (0.3+0.1)_400=160 160 a f 0 a=b c=d e=f a+b+c 2 =21a+b+c=63 3 a+b+d =26a+b+d=78 3 01 15
b+c+d =30b+c+d=90 3 a+c+d =28a+c+d=84 3 +++ 3(a+b+c+d)=315 a+b+c+d=105 a=15b=21c=27d=42 6a+b+c-3d=90+21+27-126 =12 9+7+6 3 _100=55(%) 40 5 1 2 3 7 1 38 2 3 10 1 2 3 3 24-(9+7+6)=2 5 11 7 98 7 11+9+7=27 4 y=5 ;4 0;_2=;4 0;_3+0.2 3+8 2z=3+8 z= 2 +y+z=40-(2+16+1+2) =19 3+8 y=5z= 2 3+8 +5+ =19 2 =2y=10z=7 5 3 15% 480_;1 0 0;=72 57+ 15=72 2025 1 37+31 _100=16(%) 425 2 95+20 _100=25(%) 460 6 60 100 40-(4+8+6)=22 7 80100 22_;1 1;=10 ;4!0);=0.25 8 =(30_4+50_8+70_12+90_10 +110_6) 40 =(120+400+840+900+660) 40 =2920 40=73 9 6070 90 100 40-(2+4+11+13+) =10- ={45_2+55_4+65_+75_11 +85_13+95_(10-)} 40 =74.5 90+220+65+825+1105+950-95=2980 3190-30=298030=210=7 90100 10-7=3 16
5 80 90 85 10 65 ;4 0;=0.175 95 ;4 0;=0.075 0.175-0.075=0.1 11 74.5 70 80 74.5 74.5 =2+4+7+11=24 =2+4+7=13 +=24+13=37 12 25 45 2532333436 3943 7 2526 262829363739 39 9 7+9=16 13 5651 5048474543 6 45 14 =(10+13+21+24+24+25+32+33 +34+36+39+43+45+50+51) 15 =480 15=32 =(18+19+22+25+26+26+28+29 +36+37+39+39+47+48+56) 15 =495 15=33 15 (480+495) 30=975 30=32.5 33343639 43 45 50 51 8 36373939474856 7 16 78 8378 y 83 m=2n=4 7578 ;2 0;=0.2 -y=5 >y 81 8378 y 80 =83y=78 17 6080 1-(0.15+0.35+0.075+0.05)=0.375 15 0.375=40 5+4+3 18 _100=40(%) 30 +y=9 3.8_30=114 01 17
0+2+12+3+4y+25+24+21 =114 3+4y=30 =6y=3 356 6+5+4=15 19 0.14_300=42 90100 0.08_50=4 8090 0.18_50=9 12 85 ;5!0@;=0.24 0.08+0.18=0.26 85 1 32.5m 25 111 1+4=5 11 21 21 31 3015 5+30+15=5021 26 15-2=13 ;5!0#;=0.26 26 =0.08_200=16 =0.12_300=36 =0.2_500=100 200+300+500=1000 16+36+100=152 ;1 0 0 0;=0.152 20 3+5 _100=40 =20 20 21 20-(3+5+6+2)=4 22 20_5=100 23 {3+5+;2^;}{;2^;+4+2}=119 24 35m 40m 230m 35m 4 2+4=6 27 cm 140 ~ 145 145 ~ 150 150 ~ 155 155 ~ 160 160 ~ 165 165 ~ 170 cm 142.5 147.5 152.5 157.5 162.5 167.5 0.08 0.16 0.14 0.24 0.28 0.1 =_ =142.5_0.08+147.5_0.16 =+152.5_0.14+157.5_0.24 =+162.5_0.28+167.5_0.1 =156.4(cm) 28 1+6+10=17 1+6+10+12=29 20 18
155cm 160cm 155cm 160cm 11 12+5+2+1=20 21 31 29 5 2+4=6 ;[^;_100=12 =50 50 30 9 9 (50-) ;2{;=(50-)-2 =32 5 9 32-6=26 ;5@0^;_100=52(%) 31 9 50-32=18 11 13 18-1-10=7 1+5=6 6 11 13 12 32 0.05=;2 0;0.25=;4!;0.5=;2!;0.2=;5!; 24520 2040 60 20 33 =50-(9+17+14+5+2)=3 17+43 _100=85.7?86(%) 70 37.5kg 35kg 40kg =;2 0;=0.35 =;5!0$;=0.28 ={(17.5_1)+(22.5_3) +(27.5_2)+(32.5_4) +(37.5_7)+(42.5_2) +(47.5_0)+(52.5_1)} 20 =33.5(kg) ={(17.5_0)+(22.5_3) +(27.5_9)+(32.5_17) +(37.5_14)+(42.5_5) +(47.5_2)+(52.5_0)} 50 =34(kg) < 2 45kg 50kg 01 19
01 14 =7(12+a) p.42~43 14 16 1 2 12 3 73.3% 0 4 4 3 9(a+4)-7(12+a) 1 : 3 6ª5º:=6 =15_4-1_8-3_4 a=44 4 14 6 6 44 _100 8+4+44+4 6 =;6$0$;_100=73.33 73.3(%) 6 6 4 (60-16) 2=22 2 7_20+9_20+7_20-(12+14+10) =424 12+14+10+1=37 424 37=1117 12 60-22=38 3 a b 10 10 c d e(a+b c+d d+e) a+b+10=22 a=5b=7 e=14 c+d+14=38 c=11d=13 5710 10111314 a b c 10 10 d e(a+b b+c 3 4 14 a 4 =9(a+4) d+e) a+b+c=22 a=5b=8c=9 e=15 a=6b=7c=9e=14 10+d+e=38 d<e d=13e=15 20
58910101315 ab101010cd a+b+10=22 a=5b=7 d=14 a=6b=6d=13 10+c+d=38 c d c=14d=14 571010101414 02 p.52~61 1 2 3 4 5 6 7 8 9 10 11 12 6 13 14 15 16 17 86.5 18 75.25 19 6126 20 173.9 21 ceg 22 23 6cm 24 y= 25 145 26 90 27 105 28 6 29 210 30 360 31 69 55 54 32 56 50 120 2 l m n m//n m n 3 4 l P m Q n m//n m n 02 21
5 lmn lm lm 180 lm 6 7 8 9 l ÍÍ 10 12 6 13 Í 14 15 16 G H 6 G G 2 17 1 0.5 1 6 12 5_30 +43_0.5 =171.5 43_6 =258 =258-171.5 =86.5 30 _5-5.5 _43 = 150-236.5 =86.5 11 18 24 30=24.5 30 _7-5.5 _24.5 22
= 210-134.75 =75.25 19 ÍÍÍÍÍÍ 6 12 6 4_3 =6 2 4_3=12 20 50 12=50.2 30 _3-5.5 _50.2 = 90-276.1 =186.1 180 360-186.1 =173.9 21 a c egc e 22 23 5cm 7cm M 5 cm 7 cm N 2 2 =5cm M M =;2%;(cm) =12-5=7(cm) N N =;2&;(cm) MN =;2%;+;2&;=6(cm) MN =M +N =;2!;( + ) MN=;2!; =6(cm) 24 // =G( ) // G=( ) = y= 25 l//m a+=180 b+y=180 3+=180 0.8y+y=180 =45 y=100 +y=145 26 l m Q P l//m 2+2=180 +=90 P l P=PQ+QP =P+P =+=90 02 23
27 l 50 50 55 m l//m = =50 +55 =105 28 2 l ml n m n 3_2=6 29 =90-30 =60 y=180-30 =150 +y=210 30 +y=180-30 =150 z=180 -(+90 ) =180 -(60 +90 )=30 2(+y+z)=360 31 =90-21 =69 =180 -(90 +35 )=55 =180 -(96 +30 )=54 32 =180 -(78 +46 )=56 =180 -(105 +25 )=50 =360 -(90 +30 +120 ) =120 02 p.62~72 1 165 30 2 360 30 3 60 4 115 5 64 6 113 7 60 8 -y 9 =37.5 y=105 10 32 11 139 12 60 13 20cm 14 15 2 7 5 16 17 61 18 70 19 90 20 75 21 22 355 +y=180 23 30 24 a=40 b=140 c=40 d=80 e=40 f=140 25 kn 26 180 27 60 18 28 =90 y=45 =100 y=80 =60 y=90 29 360 30 31 155 68 32 60 33 5 21;1ª1;5 32;1 1; 5 16;1 1;5 38;1 1; 5 10;1!1);5 43;1 1; 5 27;1 1; 1 l//m//n a c b c a=b=c=180-125 =55 a+b+c=55 _3=165 24
6_5=30 2 l 180 - y m z l y=180 -+z +y-z=180 2(+y-z)=360 2 l 3 m +90 2 +90 +2=180 =30 l m 105 45 45 n =105-45 =60 4 130 50 115 65 =(180-130 )+(180-115 ) =50 +65 =115 5 6 64 G G // G= // G=64 =64 23 23 92 88 25 25 =88 +25 =113 7 O=O=y O=2O=2y O=+y 3(+y=180 +y=60 O=60 8 // =H HG =G+y G=-y 9 2=75 =37.5 y=180-75 =105 10 +20 =52 =32 02 25
11 G==41 =G=180-41 =139 +59 +60 =180 =61 12 +(180-2)=120 =60 13 MN =M +N =;2!; +;2!; MN=;2!; +;2!;_3 MN=2 =40(cm) =20(cm) 14 180-114 =66 ac l ac u 18 19 =40 +30 =70 l m 40 40 40 y-40 130 50 =y-40 +130 -y=90 30 15 GHIJ 2 H I J GH HI IJ J 7 G H I J 5 16 20 +y=23 +52 =75 21 // PQ=PQ XPQ=PQY PX //QY 17 H G G H G H 4 4 l 25 84 m 84-25 =59 60 22 =55 +40 =95 y=55 2+3y=190 +165 =355 =y +y=180 23 60 60 120 G G==2_60 =120 =180-120 =60 =;2!;=30 26
24 p//q a=40 l//m b=180-40 =140 c=40 60 +e+80 =180 e=40 d=180-60 -e=80 f=d+60 =140 25 k n 65 26 l m n 27 =60 y=60 +=120 +y=180 2a+2b=180 a+b=90 =90-30 =60 l m y 60 a 120 60 60 42 =60-42 =18 b 60 30 29 y=135 _;3!;=45 +y=180 =180 _;9%;=100 y=180 _;9$;=80 2y=3 y=;2#; ;2#;=30 + =60 y=;2#;=90 l 35 125 y m 35 125 55 =180-35 =145 z=125 y=180 -(35 +55 )=90 +y+z=360 30 P//aQ//a P//Q P Q P Q a a P Q PRQR P//Q P Q P P R R Q Q 28 +y=135 =135 _;3@;=90 31 =65-45 =20 y=180-45 =135 02 27
32 +y=155 +y=26 +42 =68 2a 4a 4a b 2a 3a 2a+3a+4a=360 a=40 b=180-4a=20 a+b=60 150 +0.5 _-6 _=60 =:ª5º5º:=16;1 1; 5 16;1 1; 9 8 12 1 2 3 60 4 7 6 5 11 10 9 8 11 10 60 7 6 12 1 2 3 4 5 6 _-(150 +0.5 _)=60 33 1 0.5 1 6 5 11 10 9 8 30 _5+0.5 _-6 _=30 =: ;5@5);º:=21;1ª1; 5 21;1ª1; 9 8 7 12 1 2 3 30 4 7 6 5 11 10 12 1 2 30 3 4 5 6 6 _-(150 +0.5 _)=30 =: ;5*5);º:=32;1 1; 5 32;1 1; =: ;5!5);º:=38;1 1; 5 38;1 1; 11 10 9 8 150 +0.5 _-6 _=90 =: 5º5º:=10;1!1); 5 10;1!1); 11 10 9 8 7 7 12 1 2 6 12 1 2 6 3 4 5 3 4 5 6 _-(150 +0.5 _)=90 =: ;5$5);º:=43;1 1; 5 43;1 1; 28
11 10 9 8 7 12 1 2 6 3 4 5 150 +0.5 _-6 _=0 =: ;5%5);º:=27;1 1; 5 27;1 1; l m =60 =50 +60 =110 l 50 60 50 53 02 p.73~83 m 53 =180 -(50 +53 )=77 1 30 110 77 2 180 -(a+b) 3 80 4 20 5 240 6 7 70 8 6 9 50 10 60 11 250 12 640 13 140 14 20 15 80 16 420 17 195 18 126 19 121 20 65 20 21 78 22 75 23 50 24 =35 25 26 78 30 27 =30 y=25 =25 y=35 z=120 28 225 29 180 30 220 31 7 15;1 1; 32 69 33 280 1 80 +=70 +40 =110-80 =30 2 3 l a a b m b +=180 -(a+b) c d a 70 70 b 30 70 +70 +30 =180 =80 4 20 02 29
5 20 20 l -20 200 - y m 40 200 -+40 =y +y=240 3=180 =60 11 =50 +70 =120 y=180-50 =130 +y=250 7 (+z)+(z+y)=180 +y+2z=180 40+2z=180 z=70 8 9 L N L LK N NK 6 l m (M, I) (, H) 30 +30 +100 =180 =50 N 30 100 15 85 (G) L(J) K 15 12 a=180-130 =50 b=180-60 =120 c=180-70 =110 g+f+e+d=360 a+b+c+d+e+f+g =50 +120 +110 +360 =640 13 a+b=70 =2(a+b)=140 14 PQR=10 +50 =60 SQR=;3!;PQR=20 15 a a 70 b b l 24 52 48 10 l m 2+20 160-2 +10-10 -10 24 m 24 =2=48 =180 -(52 +48 )=80 +-10 =160-2++10 16 a=180-60 =120 =b=d c=60 30
a+b+c+d=120 _3+60 =420 17 +=80 =80-45 =35 =+ =2(+)=160 +=160 +35 =195 18 19 20 63 b 63 27 27 a a=90-27 _2=36 ==27 +36 =63 b=180-63 _2=54 2a+b=126 a+b=90 b=90-36 =54 2a+b=126 l 35 35 86 94 6 m 6 174 =35 +86 =121 80 l 40 60 40 m 25 =40 +25 =65 70 ++10 =40 +60 21 22 23 24 =20 l 35 89 48 m 13 13 =180 -(89 +13 )=78 l 30 m 45 20 25 =30 +45 =75 65 I H 115 65 65 100 G 100 I=180-115 =65 H // =65 ( ) I==65 ( ) I=180-65 -65 =50 //G IG=100 ( ) H // I=100 ( ) =I-I =100-50 =50 l m 35 145 70 =70 -(180-145 )=35 02 31
42 +=65 +19 =42 82 l 31 31 m y =180-82 =98 y=82-31 =51 25 G=180-80 =100 =G // =130-85 =45 +=135 +45 =180 180 // 28 =z=180-120 =60 y=105 29 30 +y+z=60 _2+105 =225 l m 180 a+b+c+d+e+f+g =180 m 40 l y a b c d a+b+c+d+e e a+b+c+d+e+f f a g a+b a+b+c a+b+c+d y 110 40 26 l 73 107 m 60 31 60 +=31 +107 =78 l 44 136 104 m 60 25 60 65 55 +25 =55 =30 27 =55-25 =30 y=25 2=50 =25 2y=70 y=35 z=180 -(25 +35 )=120 +y=40 +180 =220 =110 +40 =150 y=180-110 =70 +y=150 +70 =220 31 7 0 180 30_7-5.5 =126 30_7-5.5=126 =: 1 1 :=15;1 1; 30_7-5.5=-126 =61.09 7 8 32
7 15;1 1; 02 32 ' " p.84~85 30 '=( ) '=(180 +30 ) 2=105 G=105-30 =75 HG'=GH=21 ( ) 60 G 21 60 21 30 I 69 y H 69 J ' 1 12 2 30 3 6 4 5 56 1 12 G=180 -(60 +21 +21 )=78 G =180 -(75 +78 )=27 HG='HG=90-21 =69 ( ) y=180 -(69 +69 )=42 +y=27 +42 =69 2 70 I 'G+G''=''=90 'G=70 G H 70 ' ' 20 33 l 20 m 100-20 100 - y 40 + 1 2 1 2 40 G='G=70 +G=90 =I=20 ( ) I='=20 ( ' //' ) I=G'( ) 100 -+40 +;2!;=y ;2!;+y=140 180-20 I= =80 2 =180 -(80 +70 )=30 +2y=280 3 02 33
G I K IK J KJ GK G 6 4 3 30_3-5.5 =76 =2;1 1; 30;1 1; 30 3 2;1 1; 3 2;1 1; 5 2;1 1; 6 2;1 1; 158 5 y 30_5-5.5y =158 y=-1;1 1; 56 6 y 30_6-5.5y =158 y=4 61;1 1; 5 56 03 p.91~98 1 2 3 4 5 5 11 6 7 8 9 10 SS 11 12 b-c <a<b+c 13 14 15 16 17 S 18 19 20 21 5cm 22 126 23 120 24 108 1 3+5=8 3+3=6 5+6=11<12 3+4=7>5 2+3=5>4 2 90 111 45 111 22.5 90 111 30 111 15 3 34
4 7<3+5<9 (357) 9<3+7<12 (379) 9<5+7=12 (579) 5+9>12 (5912) 7+9>12 (7912) 5 = ( ) = ( ) ==90 = ( SS ) 5 11 6 2cm 6cm 3cm 4cm 7 = = = 8 9 10 = 11 S SS 12 b-c <a<b+c 14 XOY O O' O ' 15 P O OPOP O =O ( ) P =P OP OP OP(SSS) 03 35
OP=OP OP O 16 3 18 Q P R O O O O PQ PQ O O O O O O QR QR O O O 19 20 = = (S) = 21 = =4cm ==60 = =6cm (SS) = =5cm 22 NM = ( ) N =M N M(SS) N=M=18 PN=90 +18 =108 =108 +18 =126 23 ==60 = = (SS ) = =60-36
=+ =60 -+ ( =) =60 =180 - =180-60 =120 16 17 800m 18 SS 135 30 18cm 2 19 30 20 SS 21 22 37.5cm 2 24 4 a+(a+2)>a+6 a>4 P Q PQ = P =Q P=Q P Q(SS) P=Q=a =108 -a+a=108 5 O O O O O 6 P 03 p.99~105 1 2 3 4 a>4 5 6 7 SS 60 8 9 10 11 S 12 13 YI PHXHPX 14 S 15 SS M Q MP MPMQ MQ P =P P P 90 P MP +MQ MPMQ 7 03 37
= = = = ===60 (SS) = = =60 = = = = = (SS) 8 O XYÍ P OP OP XOY 9 P Q O R PO PO(SS) O =O QO QO(SS) O =O O =O =O 10 P l Q Q PQÍ l P Q PQÍ PÍ PÍl m P =P =Q =Q = P=Q 11 ==180 2=90 = = (S) = = S 12 O =O =OP =OQ =Q =P OQPO 38
OQ=60 = (SS) 13 Y P H G X Q I P Y HI PHXYIQ PH = = = YI PHX =YIQ=90 PG=YPG=Y HPX =IYQ PHX YIQ(S) PX =QY 16 = = = =60 += (SS) = = 17 ==90 = =400m ==60 14 (S) = K M H HMKM M =M HM=KM MH=MK( ) MH=MK HM KM S H =K 18 800m G H = =60 + 15 =+60 = (SS) =+ = =60 +(180-30 ) 2 03 39
=135 =75 = = =60 +30 =90 =(180-90 ) 2=45 =- =75-45 =30 = =6cm =90 =;2!;_6_6=18(cm 2 ) 19 = = (SS) == == ++60 ++=180 4=120 =30 =30 =120 =30 P=120-30 =90 P 20 21 22 = = =+ =60 + =+ = (SS) R P Q = = ==60 (SS) = P=P+P =+P ==60 Q=R=60 PQR 8cm 10 cm 4.5 cm 6cm G = =90 -= =90 -=90 - = (S) = =8cm 40
G=;2!;_(8+4.5)_6 G=37.5(cm 2 ) 03 p.106~113 P R(S) 3 HOIO OH=90 -HO=OI HO=IO=45 O =O HO IO(S) HOI=O 1 SS 2 S HOI=;4!;_4_4=4(cm 2 ) 3 4cm 2 4 8cm 5 50cm 2 6 60 7 23 8 23cm 2 9 121 10 60 11 36 64cm 2 12 80cm 2 13 60 14 45 15 2 16 17 90 18 108 19 60 13 20 30 21 98cm 2 90 22 140 23 11cm 24 2acm 4 G H 3cm 11 cm G ==90 -G =G = 1 G = ( ) G==90 =90 -=G G(S) G = =11-3=8(cm) G = ( ) G (SS) 5 2 P Q R PR = ==60 P=60 -PR=R = ==90 = (S = 03 41
= ==45 ==45 = = = =10cm = =10cm =;2!;_10_10=50(cm 2 ) 6 = =360-60 -60 - =240 - =60 + =60 +180 - =( // ) =240 - = = = (SS) =+ =+=60 7 60 83 60 = = + = + = = =(180-60 ) 2=60 8 9 = = = ==60 (SS) ==83-60 =23 M M MM M=M( ) M =M M=M( // ) M M(S) M+M =M=M( M =M ) =23(cm 2 ) 61 = = =60 -= (SS) =a =ba+b=119 =360 -(++) =360 -(+60 +) =360 -(60 +b+60 +a) 42
=360 -(120 +119 )=121 10 30 J K L I G =G = 30 // ==30 =90 -G =90 -L=G G(S) = G H ==45 GH=-4 (SS) =90-30 =60 11 ==27 =90-27 _2=36 13 =20_20-4_80 =80(cm 2 ) P = ==90 =90 - =90 -( ) = (S) =8cm =6+10=16(cm) ;2!;_8_16=64(cm 2 ) = = =+60 = (SS) = +P=+ 12 L H I G K J JK = J=K=90 J =K 14 P==60 G 45 a 60 b J K(SS) G G 03 43
G =G 16 Q P G=G+ =+ =90 -=45 G= a=45 -(90-60 )=15 G(SS) =180 -(60 +60 )=60 b=90-60 =30 PP = P=P P=P( ) P=P P P(S) P =P a+b=45 17 15 2a ' a a P G 2a ' G = =G =a =90 +=G ='=90 -a G(SS) '=180-2(90 -a)=2a + '=180 -(90 +2a) =G+P =90-2a +90 '' =G+(180 -P) '='=90-2a =G ' =' -'' = -'' 90 =180 -P = -' =' P=90 '='=90 ' '(S) P '='=' 90 +(P+P)+P '='' =360 =2' P+P ' =(90 -P) 2 =+(90 +P) 44
=180 ( P=P) P=90 =60 + P=180 -P=90 =60 +(180-77 _2) =60 +26 18 =86 a a a 2a 2a ==a ==2a ==2a =2a-a=a 5a=180 a=36 ( = ==a = SS) =a=36 =(180-36 ) 2=72 =+=108 20 =(180-86 ) 2=47 =- =60-47 =13 25 65 35 55 35 = =90 -= = G (SS) ==90-65 =25 =180 -(35 +25 )=120 G=120-90 =30 19 ( = = =60 += SS) = +60 =+G G=60 26 G 77 H 21 P G G = G G = G=90 -G= G (SS) G 03 45
23 =;2!;_14_14=98(cm 2 ) PG=G( ) 10 cm 11 cm G= (G ) 60 P PG=90 - P P =90 -G=G P=G=90 P = ( ) P P = ( P ) P+P=180 P=60 -P= ( G=) P (SS) P+=180 P +P = +P =P P=P =P =11(cm) 22 =180 -=90 I 24 30 33 17 18 100 45 H 60 G 60 30 18 G GH =H ( ) G = ( ) G=+90 =H G H(SS) H=G=18 =180 -(100 +45 )=35 H=35-18 =17 =33 +90 +17 =140 GG = =G=60 =G=90 =G=30 G(S) G = = G G==90 G = G= G= G (S) 46
= =acm 2 =a+a=2a(cm) P Q P P 03 p.114~115 1 5.5cm 2 3 ;:!5@:^;cm 2 4 8cm Q Q Q 1 P M N 3 L L LMN M MN ML MLN NL MNML MN =ML =;2!;_8=4(cm) NM=M-NM =NML-NM =LM M =M =5cm MN ML(SS) = L +L =4+1.5=5.5(cm) = ( ) = ( ) =- =-= (SS) =+ =+ =- M=;2!;_36=18(cm 2 ) 03 47
4 M =32 =18_;5#;=: 5 : =36-: 5 :=;:!5@:^;(cm 2 ) 10 40 60 50 100 60 10 8cm = 180-100 == =40 2 100 =40 +60 = = 180 -(100 +60 ) = =10 2 =60-10 =50 ==50 = ( ) ==100 (S) = =8(cm) 04 p.122~133 1 2 3 3 20 30 45 105 180 4 180 _(n-2) 3 900 45 12 27 150 360 5 144 56pcm 2 240 24cm p 2 135 3cm 2p 6 90 7 8 31 9 5cm 10 a+b+c 11 27 12 180 13 360 14 85 15 180 16 30 17 40 18 9 15 72 90 108 126 144 19 20 20 110 21 154 22 8cm 23 148 24 7cm 2 25 165 26 112 27 0 28 100 29 97 30 4pcm 2 31 95 77 32 27.5 33 30 34 1440 35 2rcm 1 6_(6-3) =9 2 180 _(10-2) =144 10 2 n n (n-3) 48
a-b=n-(n-3)=3 3 n 180 _(n-2)=1080 n=8 8_(8-3) = =20 2 180 _;1 2;=30 180 _;1 2;=45 180 _;1 2;=105 30 45 105 4 0 3 a=0b=3 a+b=0+3=3 180_(7-2)=900 360 360 =45 8 15-3=12 9_(9-3) =27 2 180 _(12-2) =150 12 5 2p_5_;36{0;=4p =144 144 6 2p_8_;36{0;=14p =315 315 p_8 2 _;3#6!0%;=56p(cm 2 ) ;2!;_8_14p=56p(cm 2 ) 240 2p_6_;36{0;=8 = p ;2!;_6_8=24(cm 2 ) p_8 2 _;36{0;=12 = 2p_8_ P O 135 2p 360=3(cm) 135 2p 240 p 135 2p OPOP OP=OP OP=OP 180 P 2PO+2OP=180 P=PO+OP=90 04 49
PO=PO=OP=60 OP=OP=30 PO P =OP P +P OP=OP=30 PO=180-30 -30 =120 7 360 180 P P=+b P=+c =P+P =++b+c =a+b+c ( +=a) 11 n =180 _;9@;=40 8 75 +46 =+90 =31 9 30 20 cm 30 120 O 30 //O O=O=30 O =O O=30 O=180-30 -30 =120 μ 20=30 120 μ =5(cm) 12 360 n =40 n=9 c a b a+d d 9_(9-3) 2 =27 a+b+c+d (180 ) 10 a b c P 13 360 14 360 65 +80 +38 +32 +60 +=360 50
15 =85 e a f d b g c a+c=fb+e=g a+b+c+d+e =f+g+d=180 16 2=60 +2 =30 + =+ +=30 + =30 =30 360 30 =12 +132 +(+132 )=180 =24 360 24 =15 15 180 _(5-2)=540 a b cde a=540 _;3 0;=72 b=540 _;3 0;=90 17 2 2 120 c=540 _;3 0;=108 d=540 _;3 0;=126 e=540 _;3 0;=144 ==+=2 2+=120 =40 19 (20 +50 +)_2=180 =20 18 n 180 _(n-2)=1260 n=9 9 180-160 =20 360 20 =18 +5=180 20 =2a=2b 2a+2b+130 +90 =360 a+b=70 =180-70 =110 21 μμ=oo=21 O=2O O 04 51
O=O=;2!;O O O=O=26 +;2!;O +=O+O 26 +;2!;O+26 =;2!;O+2O O=26 O=180-26 =154 22 P=aOP P =O =O OP=a OP O=a+a=2a O O=O=2a OP O=a+2a=3a μμ=oo μ24=a3a μ=8(cm) 23 =180 -(70 +36 )=74 =a=b ==a( ) ==b( ) 74 +a+b=180 a+b=106 +=360-2_106 =148 24 O=(180-120 ) 2=30 O // O=O=30 OO=41 O28=14 O =7(cm 2 ) 25 =+2 y=+2 2+2=180-70 =110 +=55 +y=3+3 =3_55 =165 26 =180-72 _2=36 =360 -(112 +100 +36 )=112 27 y z 108 180 _(5-2) =108 5 =z=(180-108 ) 2=36 y=108-36 _2=36 2-(y+z)=0 z 28 540 180-60 =120 180-80 =100 180-70 =110 =540 -(120 +110 +100 +110 ) =100 52
29 // =46 O O=180 -(46 +37 )=97 30 p_3 2 _;2!;-p_1 2 _;2!; 31 32 =4p(cm 2 ) 100 360 -(100 +90 )=2a+2b a+b=85 =180 -(a+b)=95 a a (180-2a)+(180-2b) =360 -(100 +106 ) 2a+2b=206 a+b=103 =180 -(a+b)=77 a 105 a b b a+50 100 106 a a b b b b 50 2a+2b+50 +105 =360 a+b=102.5 =180 -(a+50 +b) =27.5 33 a a 76 74 b b a+b=180-74 =106 =180 -{360 -(a+b) =-(180-76 )} =30 34 PQRST 5 540 +5_180 =1440 35 4r 2r 2r 6r =4r+2r+6r+2r =14r(cm) =2pr(cm) (2pr+14r)cm 2r 2r 2r 2r 2r 2r =2r_6=12r(cm) =2pr(cm) (2pr+12r)cm 04 53
1 2rcm P 04 p.134~144 180-45 135 = = =67.5 2 2 =45 =45 =180-45 -45-67.5 =22.5 1 22.5 2 =36 =108 3 45 135 1.5 4 130 5 90 6 120-7 80 8 195 9 68 10 50 150 ;2%;pcm ;; 4 ;;pcm 2 11 2 4 {;; 3º;;p+24}cm 12 220 13 50 14 6 15 96 16 540 17 18pcm 2 18 150 19 4+2y-180 20 65 21 51 22 131112 23 150 24 24pcm 2 25 72 26 210 27 30 45 180-4 18 28 112 45 100 29 ;; 2 ;;pcm 2 25cm 2 2 =- =;2!;-;2!; =;2!;(-) =;2!;=;2!;_45 =22.5 36 108 36 108 180-108 == =36 2 =36 =180-36 _2=108 (25p-50)cm 2 30 61 31 58 130 32 56 93 33 (2p+8)cm 3 O=360 _;8!;=45 O=360 _;8#;=135 54
μ =3μ O=3O=135 OHO=;8#;;8@;=32 OH=;2#;O 1.5 4 +=180-80 =100 I+I=100 2=50 =180 -(I+I)=130 =180 -;2!;(+) =180 -;2!;(180 -) =;2!;+90 =;2!;_80 +90 =130 5 20 40 150 +=180-150 =30 =180-30 -40-20 =90 =360 -(50 +120 +60 )=130 =130-50 =80 8 50 +2P+2P=180 9 P+P=65 P=180 -(P+P) =115 P 50 +115 +P+P=360 P+P=195 25 45 42 135 =45 +42 =87 +25 +87 =180 =68 10 μμ=o75 23=O75 O=50 O=2O=2_50 =100 O=O+O O=50 +100=150 6 =+=60 =+=60 = =60 -+60 =120-7 50 50 60 120 360 μ=2μ μ=3μ O=3O=150 75 2p_6_ =;2%;p(cm) 360 p_9 2 50 _ =: 4 :p(cm 2 ) 360 11 =2p_6_ 100 360 =;; 3º;;p(cm) 04 55
100 =2p_12_ =;; 3º;;p(cm) 360 ;; 3º;;p;; 3º;;p=12 2 =p_6 2 100 _ =10p(cm 2 ) 360 =p_12 2 100 _ =40p(cm 2 ) 360 10p40p=14 4 : 3º:p+12_2=: 3º:p+24(cm) r =2pr_;36{0; r 612=12 k 2 =pr 2 _;36{0; =40 +180 =220 13 // ==60 = = =(180-60 -20 ) 2=50 =60-50 =10 =+=40 =90-40 =50 14 a 2a a a O O=a //O O=O=a O =O O=O=a O O=O+O=2a μ =2 μ+μ =9-(+2)=6 r 2 6 2 12 2 =14 k 4 12 P=97-57 =40 ++ 180 P+++ 15 60 60 120 108 108 12 120 108 =180-108 =72 56
16 =120-108 =12 =12 +120 =132 60 =120-60 =60 =360 -(60 +132 +72 )=96 a c d a+b=c+d 180 _(5-2)=540 17 p_6 2 240 _ -p_3 2 240 _ 360 360 =18p(cm 2 ) 18 a=180 -(90 +40 +30 )=20 b=180 -(90 +30 )=60 c=180 -(90 +20 )=70 a+b+c=150 19 =a =(180 -a) 2 =90 -;2!;a b 2a+2b=360 -(180-50 )=230 a+b=115 =180 -(a+b) =180-115 =65 21 // =180-115 =65 // ==65 G G=360-74 -81-65 =140 =140-89 =51 22 O=360-50 -90-90 =130 O=360-70 -90-90 =110 O=360-130 -110 =120 μμ μ =OOO =130 110 120 =131112 23 =60 +90 =150 =(180-150 ) 2=15 (SS) z=60-15 _2=30 y=90 +15 =105 +y+z=150 ==+y 180 =+(+y)+90 -;2!;a 24 a 6cm 6cm b 4cm a=4+2y-180 20 =a=b a =p_6 2 _;2!;-p_3 2 _;2!; 04 57
=18p-4.5p=13.5p(cm 2 ) b =p_5 2 _;2!;-p_2 2 _;2!; =12.5p-2p=10.5p(cm 2 ) =a +b =13.5p+10.5p=24p(cm 2 ) 25 =108 26 = ==36 ==36 I I=I=36 =36 +36 =72 (SS ) G=G=36 +36 =72 G JGHGIH JI(SS) J =G =GH =HI =IJ GHIJ 108 45 2a 2a 2a 90 -a 2a O 2a T O 2a O=O=O=O =OT=2a O =O O=(180-2a) 2=90 -a OT=90 TO 90 -a+45 +90 +10a=360 9a=135 a=15 OT=10a=150 =360-150 =210 27 = =+ =15 +15 =30 ==30 +15 =45 =180-45 _2=90 ==45 +15 =60 60 ==2 ==+ =3 ==+ =4 X=180-4 =90 =G G =4 +4=90 =18 28 =a=b 58
a+b++134 =360 a+b+=226 2a+2b++130 +70 =540 2a+2b+=340 - a+b=114 =226-114 =112 = =(180-29 ) 2=75.5 = =(180-90 -29 ) 2 =30.5 =75.5-30.5 =45 == =-30 =;2!;(180 -) ;2!;(180 -)+2(-30 )=180 =100 29 p_10 2 _;4!;-p_5 2 _;2!; =: 2 :p(cm 2 ) a b 10 cm a b ;4!; 10_10_;4!;=25(cm 2 ) p_5 2 -;2!;_10_10 =25p-50(cm 2 ) 30 S 1 =p_2 2 -p_{;2#;} 2 -p_{;2!;} 2 =;2#;p S 2 =p_{;2!;} 2 =;4!;p S 1 S 2 =;2#;p;4!;p=61 31 =a=b +b=a+56 =56 +(a-b) 120 +2a+56 +(180-2b) =360 2a-2b=4 a-b=2 =56 +2 =58 a a 62 96 b b =a=b + =180-62 -a-b=180-96 a+b=34 + =180-96 -a-b=50 =180-50 =130 =96 +a+b a+b=96-62 =34 =96 +34 =130 04 59
32 =a=b 60 +2a=52 +2b b-a=4 60 +a=+b =60 +(a-b)=60-4 =56 86 80 360 == =+6 =+6 =(180 +6 ) 2=93 =93 33 OO' 2cm O 4cm O' 2cm 4cm O' =4_4+2p_1=2p+16(cm) O =2_4=8(cm) (2p+16)-8=2p+8(cm) 04 1 41 118 2 90 3 180 4 150 5 =60 y=120 6 80 7 540 900 540 8 110 9 (12p-16)cm 2 (6p+8)cm 40pcm 2 11 36 10 16pcm 12 24pcm 2 (4p+24)cm (108-18p)cm 2 (6p+24)cm 13 (9p-12)cm 2 (16p-32)cm 2 50cm 2 {;; 2 ;;-;; 4 ;;p}cm 2 14 ;2%;pcm {50-;; 2 ;;p}cm 2 {;; 2 ;;p-25}cm 2 15 (200p-400)cm 2 50cm 2 8pcm 2 (50p-100)cm 2 16 2ap+8a 8a 2-2a 2 p 17 {;; 9 ;;p+12}cm ;; 9 ;;pcm 2 18 19pcm 2 19 (16p-32)cm 2 12pcm {;; 2 ;;p-25}cm 2 {;; 2 ;;p+10}cm 20 (8p-25)cm 2 21 (4p+8)cm 2 (25p-50)cm 2 4a+2b 22 p 23 (16p+216)m 3 2 p.145~155 60
24 ;:!3):);pcm 2 12pcm 2 25 pcm 2 26 (8p+12)cm 27 360 28 125 55 35 29 ;3!; 30 (9p+14)cm (36p+56)cm 2 31 159 78 39 117 63 120 +;3!; ;3@; ;3!; 180-1 P+P ={360 -(148 +66 )} 2=73 P=360 -(148 +73 )=139 =180-139 =41 =180-56 =124 =124 2=62 =62 +56 =118 2 =a=b 2a+2b=180 a+b=90 =2b a+2b=b+ =a+b=90 3 PQ ;2!; +y=720 -(360 +180 ) =180 4 =P =P P P P=P=90 -P =90-60 =30 P=P =(180-30 ) 2=75 a=360-75 -60-75 =150 5 OI+OI=180 OI y=360 -(180 +60 )=120 O+O=180-120 =60 =180-60 _2=60 6 // =='=50 =180-50 _2=80 7 7 2 180 _7-360 _2=540 H G K X Y I J Z X X 180 +=X+X YJK IZY 360 +K+J 04 61
=YIZ+Z+YZ IZGH P=+P+P =70 +40 =110 180 _(7-2)=900 c a b f e h g d a+b=c+d e+f=g+h 720 +180 =900 9 p_4 2 _;4!; +2{p_4 2 _;4!;-;2!;_4_4} =4p+2(4p-8) =12p-16(cm 2 ) p_4 2 4 _;4!;+ 2 (p-2) 2 =4p+8p-16 =12p-16(cm 2 ) 4+4+{2p_4_;4!;}_3 =6p+8(cm) f g c e 10 2p_8_;2!;+2p_5_;2!;+2p_3_;2!; d =16p(cm) p_8 2 _;2!;+p_5 2 _;2!;-p_3 2 _;2!; a+b a b =40p(cm 2 ) g=a+b e=f, c=d+e=d+f 180 +360 =540 11 29 64 23 25 57 110 8 ++= +=150-70 =80 P+P =;2!;(+)=40 =110 -(25 +57 )=28 =+64 =92 =29 +23 =52 =180 -(+) =180 -(92 +52 )=36 62
12 =60 =p_12 2 60 _ =24p(cm 2 ) 360 =12_2+2p_12_ =4p+24(cm) =12_12-{p_6 2 _;2!;+6_6} =108-18p(cm 2 ) =12_2+2p_6_;2!; =6p+24(cm) 13 (10+2) 2=6(cm) p_6 2 90 _ -;2!;_4_6 360 =9p-12(cm 2 ) p_4 2 -;2!;_8_8=16p-32(cm 2 ) H H(SSS) H=90 = H 10 cm 10 cm 45 45 =;2!;_10_10 =50(cm 2 ) 10 cm 60 360 = =+ =+ ={5_5-p_5 2 _;4!;}+;2!;_5_5 =: 2 :-: 4 :p(cm 2 ) 45 14 2p_10_ =;2%;p(cm) 360 15 ;2!;_10_10-p_10 2 _ =50-: 2 :p(cm 2 ) p_10 2 _;8!;-;4!;_10_10 =: 2 :p-25(cm 2 ) 20 cm 8 _8 10 2 2 ={p_10 2 _;4!;-;2!;_10_10}_8 =200p-400(cm 2 ) 10 cm 20 cm (p-2)_4=200p-400(cm 2 ) 10 cm ;2!;_10_10=50(cm 2 ) 45 360 p_4 2-2_p_2 2 =8p(cm 2 ) 04 63
=19p(cm 2 ) 20 cm 19 16 p_10 2 _;2!;-;2!;_20_10 =50p-100(cm 2 ) 4a a a =4a_2+2p_a =2ap+8a =4a_2a-2_p_a 2 =8a 2-2a 2 p = = = =p_8 2 _;4!;-;2!;_8_8 =16p-32(cm 2 ) =2p_8_;4!;+2p_4 =12p(cm) 40 17 6_2+2p_6_ 360 70 +2p_4_ 360 =: 9 :p+12(cm) {p_6 2 40 _ -p_4 2 40 _ } 360 360 +p_4 2 30 _ 360 =: 9 :p(cm 2 ) 45 =p_10 2 _;8!;-;2!;_5_10 =: 2 :p-25(cm 2 ) =2p_5_;2!;+2p_10_;8!;+10 =: 2 :p+10(cm) 18 30 10 cm 6cm 20 8cm S S S G H 2cm GHG 8cm ;8!; 10cm =p_10 2 _;4!;-p_6 2 _;6!; ;4!;S 1 -S 2 64
21 S 1 -S 2 =p_8 2 _;8!;-10_10_;4!; S 1 -S 2 =8p-25(cm 2 ) 4cm 12 cm 8cm M 5 5 4m 54m 54_4=216(m 2 ) 5 4m 16pm 2 (16p+216)m 2 {8_4+p_4 2 _;4!;}-;2!;_4_12 =4p+8(cm 2 ) {p_10 2 45 _ -;4!;_10_10}_2 360 =25p-50(cm 2 ) 22 b 2a b a 60 60 60 a 60 60 l 23 8cm 60 =2p_a 2 360 60 =+2p_b 2 360 60 =+2p_2a_ 360 4a+2b = p 3 24 25 ' ' - =( =) =p_20 2 30 _ =;:!3):);p(cm 2 ) 360 =p_6 2 120 _ =12p(cm 2 ) 360 = 6cm 6cm O O' 6cm 120 1cm1cm + =p_2 2 120 _ -p_1 2 120 _ 360 360 =p(cm 2 ) 5 26 2p_2_;3!;+2p_4_;3!; 04 65
+2p_6_;3!;+2_3+6=8p+12(cm) I=90 +;2!;=125 27 c b a i P=cQ=d 2a+2c=180 h d g e f a+b++i 9 2 2b+2d=180 IP=IP=90 P=180 -I=55 QP QP+QP+Q=180 Q=180 -(55 +90 )=35 180 _9-360 _2=900 Q=;2!;=35 k j p n o m y l m+n=+y 29 H j+k++p 180 _(5-2)=540 =- =900-540 =360 O G O O O G OOG O =O μ=μ O=O 28 c a a c 70 I b d b d d Q O=OG=90 O=OG O OG(S) O =OG =G O =ro =a =b P O=O=O I=aI=b 70 +2a+2b=180 a+b=55 I=180 -(a+b)=125 O=;3!;_90 =30 =pr 2 _ 60 360 -;2!;ab 66
=-{pr 2 _ =;1 2;pr 2 30 360 O -;2!;ab} =pr 2 90 _ =;4!;pr 360 2 O ;1 2; ;4!;=;3!; +(p_9 2 -p_5 2 )_;2!; =36p+56(cm 2 ) O 4_(9p+14)=36p+56(cm 2 ) OG OG O(SSS) O=OG=O H=O-OH =O-OH =OH O O =OO=30 90 =13 31 a a a G =a=b P=c 3a+3b+117 =180 a+b=;3!;(180-117 )=21 =180-21 =159 P=P-P P=;3@;(-) P=;3@;_=;3@;_117 P H Q b b cc b c S R 30 2cm O G P=78 S=S-S 8cm 6cm 10 cm H I S=;3!;(-) S=;3!;_=;3!;_117 ' 2p_7_;2!;+2p_2_;2!;+8+6 =9p+14(cm) 4_(8+6)+p_4 2 _;2!; S=39 PQSR 360 PQS+SRP =360 -(RPQ+RSQ) =P+S=78 +39 =117 04 67
GH=180-21 _2=138 G+GH =360 -(138 +159 )=63 =180 -;3!;(+) =180 -;3!;(180 -) =120 +;3!; P=;3@; S=;3!; PQS+SRP =P+S= G+GH =360 -(G+) =360 -(180 +) =180 - O+O=180 O 90 p_5 2 90 _ +p_4 2 90 _ 360 360 +;2!;_3_8 =: 4 :p+12(cm 2 ) 2 O l O ' O' ' 3cm 3cm O ' ' O =2p_3_;4!;_2+2p_3_;2!; =6p(cm) 04 3 P R 1 p.156~157 1 {;; 4 ;;p+12}cm 2 2 6pcm 3 ;; 9º;;pcm 4 P 5cm O 4cm k O 4cm 4cm 3cm () 3cm 5cm O OPQ=90 OP // Q R R R=PO=R =R =10cm R P 70 20 O Q P 10 cm 100 40 R S 68
P=20 RS=20 _2=40 P=70 RS=70 _2=140 R 2p_10_ 4 140-40 360 J H G I k =: 9º:p(cm) J H G I O J K O=K O=K K ==36 = =J >K K P Q J K J I I k k O H O H G G I =I I=108 I=I=36 36 G GIH IJ (S) J GH IJH(SS) HJ HJ O P=5_ Q =5_O O 04 69
05 p.164~172 4 1 8 4 12 12 6 (n+1) 2 3 4 5 6 7 8 9 10 11 12 13 28 14 15 16 17 V=;; 3 ;;pa 3 S=16pa 2 18 ;3*;cm 19 4cm 20 135 21 27 22 23 54pcm 3 24 6 p 25 26 384pcm 3 27 27pcm 2 960cm 2 28 85pcm 2 29 30 (50p+100)cm 2 r(a+2r)p 31 72cm 2 32 76cm 2 49pcm 2 5 n 3n=27n=9 9+2=11 6 1 7 3 360 8 2 1 9 r ;3$;pr 3 11 5 3 70
p_6 2 _h=96p h=;3*; 19 120 12 cm r cm 12 13 n n+1=10n=9 =9+1=10y=2_9=18 +y=10+18=28 14 20 120 2p_12_ =8p(cm) 360 rcm 2pr=8p r=4 8cm a 3cm a 2p_8_;360;=2p_3 15 33 43 5 17 V=;3$;p_(2a) 3 =;; 3 ;;pa 3 S=4p_(2a) 2 =16pa 2 18 ;3!;_p_6 2 _8=96p(cm 3 ) hcm a=135 21 6cm =;3$;p_6 3 =288p(cm 3 ) 2cm =;3$;p_2 3 =: 3 :p(cm 3 ) 288p: 3 :p=271 6cm 2cm 27 05 71
ab a 3 b 3 62=31 3 3 1 3 =271 27 p_3 2 +p_3_6 =9p+18p=27p(cm 2 ) 6cm 22 6p cm 3cm 23 rcm 4pr 2 =36p r=3( r>0) =p_3 2 _6=54p(cm 3 ) 24 2a 2a =;3$;pa 3 =(2a) 3 =8a 3 ;3$;pa 3 8a 3 6 =p6=1 p 6 p 26 10 cm 6cm 4cm 8cm =;3!;_p_8 2 _6+p_8 2 _4 =384p(cm 3 ) 28 2p_6_;36{0;=2p_3 =180 =;2!;_p_6 2 +p_3 2 =27p(cm 2 ) ;2!;_(12+18)_8_2+10_15 +12_15+8_15+18_15 =960(cm 2 ) 12 cm 18 cm 8cm 150 15 cm 8cm 12 cm 10 cm r cm 8cm rcm 150 2pr=2p_12_ r=5 360 =p_5 2 +p_5_12 =85p(cm 2 ) 15 cm 18 cm 10 cm 72
29 l =12_12_;2!;=72(cm 2 ) k 32 2_[;2!;_(4+5)_4 +;2!;_(4+7)_3+;2!;_7_1] 30 5cm 10 p cm 3 120 5cm =36+33+7=76(cm 2 ) p_7 2 =49p(cm 2 ) 10 cm 05 p.173~182 {p_5 2 120 _ }_2+(10_5)_2 360 120 +{2p_5_ }_10 360 =50p+100(cm 2 ) + _;2!; =pr_a+4pr 2 _;2!; =par+2pr 2 =r(a+2r)p 31 12 cm ' 3cm 2p_12_;36{0;=2p_3 =90 1 288pcm 3 18 4cm 64cm 2 6cm 2 216pcm 2 3 1536pcm 3 4 144pcm 2 5 ;; 3 ;;cm 3 6 24pcm 2 7 224cm 2 8 486pcm 3 9 510cm 3 10 324pcm 3 11 85 12 48cm 3 ;; 3º;;pcm 3 13 24pcm 3 50cm 3 14 412cm 2 r(a+b)p 15 (12p+12)cm 2 16 2048cm 3 17 968cm 3 18 1008pcm 3 19 240pcm 2 20 4400pcm 3 21 22 56pcm 2 23 120pcm 2 24 150pcm 3 25 26 27 ;; 5 ;;m 28 ;; 5 ;;pcm 3 35 29 14pcm 3 30 ;2#; ;2!; ;2#; 4 05 73
1 rcm 4pr 2 =144p r=6 =;3$;p_6 3 =288p(cm 3 ) 14=1 2 2 2 12 1 3 2 3 =18 cm 6 2 =96=6_4 2 =4 8_8=64(cm 2 ) h cm 4cm 5 ;3!;_{;2!;_4_4}_4=: 3 :(cm 3 ) 6 p_3 2 +p_3_5=24p(cm 2 ) 7 8_8+{;2!;_8_10}_4=224(cm 2 ) 8 3cm 8cm 9cm 5cm 9cm ;3!;_p_9 2 _3+p_9 2 _5=486p(cm 3 ) hcm 4cm p_4 2 _h=96p h=6 2 p_9 2 +p_9_15=216p(cm 2 ) 3 9 =;2!;_(9+12)_8+;2!;_12_3 =102(cm 2 ) =_ =102_5=510(cm 3 ) 10 6cm 15 cm + 8cm 24 cm =p_8 2 _24=1536p(cm 3 ) =;3!;_p_6 2 _15+;3$;p_6 3 _;2!; =324p(cm 3 ) 6cm 4 _;4#; + 6cm =4p_6 2 _;4#;+p_6 2 =108p+36p=144p(cm 2 ) 11 V =y 2 V = 2 y V V =y 2 2 y=y=21 2=y S =4y+2y 2 =4_2+2_(2) 2 74
=8 2 +8 2 =16 2 S =4y+2 2 =4_2+2 2 =8 2 +2 2 =10 2 S S =16 2 10 2 =85 12 ;3!;_4_4_9=48(cm 3 ) ;3!;_p_2 2 _6+;3!;_p_2 2 _4 5cm 4cm = + 6cm 3cm =;2!;_6_4+;2!;_p_3 2 +;2!;_p_3_5 =12p+12(cm 2 ) 16 20_12_16-16_8_14=2048(cm 3 ) =: 3º:p(cm 3 ) 17 6cm 4cm 13 8cm 6cm =;3!;_{;2!;_6_8}_4=32(cm 3 ) 2cm p_2 2 _6=24p(cm 3 ) 12 cm 5cm 5cm ;3!;_{;2!;_5_5}_12=50(cm 3 ) 14 7cm 8cm 10 cm (8_10+7_10+8_7)_2 =412(cm 2 ) p_r_a+p_r_b=r(a+b)p =10_10_10-32=968(cm 3 ) 18 12cm - 6cm ={;3$;p_12 3 }_;2!;-{;3$;p_6 3 }_;2!; =1008p(cm 3 ) 19 6cm + =4p_6 2 +2p_6_8=240p(cm 2 ) 20 10 cm 6cm 20 cm 15 p_16 2 _20-p_6 2 _20=4400p(cm 3 ) 05 75
21 H G 25 p_5 2 _7-;3!;_p_5 2 _3=150p(cm 3 ) V H H G G V V 22 6cm 4cm 4cm _;2!;+ =4p_4 2 _;2!;+p_4_6=56p(cm 2 ) 23 lcm 2pl=2p_6_;3&;l=14 p_6 2 +p_6_14=120p(cm 2 ) 24 l 7cm 4cm 26 N N M P M P N N M P M P 27 ;2!;_(7+9)_3_10+15_2_10 =540(m 3 ) hm 15_10_h=540 h=: 5 : 5cm 76
28 ;3$;pr 3 2pr 3 =23 5cm H 3cm ;2#; 4cm H 5_H =4_3 H =: 5 :(cm) =;3!;_pr 2 _2r=;3@;pr 3 ;3$;pr 3 ;3@;pr 3 =21 ;2!; 5cm H 3cm 4cm ;3!; ;2#;_;3!;=;2!; =;3!;_p_{: 5 :} 2 _5 =: 5 :p(cm 3 ) V2 5cm 3cm 4cm V 1 =: 5 :p(cm 3 ) V 2 =;3!;_p_4 2 _3=16p(cm 3 ) V 1 V 2 =: 5 :p16p=35 29 =;3!;_p_6 2 _8-;3!;_p_3 2 _4 =84p(cm 3 ) 84p 6=14p(cm 3 ) 30 =pr 2 _2r=2pr 3 =;3$;pr 3 =pr 2 _2+2pr_2r=6pr 2 =4pr 2 4pr 2 6pr 2 =23 ;2#; =pr 2 pr 2 4pr 2 =14 4 05 1 17 2 204pcm 3 (58p+408)cm 2 p.183~193 3 63pcm 2 4 13 5 264pcm 3 6 : ;3@; :pcm 3 106pcm 2 7 39000cm 3 8 11 213 54pcm 2 9 147 05 77
10 672pcm 3 360pcm 2 11 440pcm 2 400pcm 3 12 13 200pcm 3 210pcm 2 14 ;:@3%:^;pcm 3 2 =p_12 2 30 17 360 =204p(cm 3 ) 30 15 30pcm 2 50pcm 3 16 68pcm 2 17 (240-5p)cm 3 18 (36p+24)cm 3 19 60 17 cm 12 cm 12 cm 2p cm ;6%;a 3 20 102cm 2 48cm 3 (4p+84)cm 2 {60-;2%;p}cm 3 21 120pcm 2 100pcm 3 4cm 128 2 8 22 {1- }cm 3 p p 23 3pcm ;2(;cm 2 15pcm 2 (24p-24)cm 3 24 336cm 3 360cm 2 25 648cm 2 26 2cm 27 700pcm 3 : ;3@; :pcm 3 3 ={p_12 2 30 _ }_2+(17_12)_2 360 30 +2p_12 17 360 =58p+408(cm 2 ) l 3cm 3cm (4p_3 2 )_;2!;+2p_3_6+p_3 2 =63p(cm 2 ) 6cm : 3 :pcm 3 : ;9@; :pcm 3 28 ;:%3$:$;p 29 19cm 4 18cm 30 576cm 3 a P Q O a 1 =;3!;_p_5 2 _6=50p(cm 3 ) = - =;3!;_p_10 2 _12-50p=350p(cm 3 ) =50p350p=17 V 1 =;3$;p_{;2;} 3 =;6!;pa 3 V 2 =;3$;pa 3 _;2!;-V 1 V 2 =;2!;pa 3 V 1 V 2 =;6!;pa 3 ;2!;pa 3 =13 78
5 3cm 8cm 6cm p_6 2 _8-;3!;_p_3 2 _8=264p(cm 3 ) 6 =p_5 2 _4+;3$;p_4 3 _;2!; =;:$3@:*;p(cm 3 ) l 9 a =a 3 =p_5 2 +2p_5_4+4p_4 2 _;2!; 10 PQR =;3!;_;2!;_;2;_;2;_;2;= 48 =a 3 - =;4$8&;a 3 48 a 3 ;4$8&;a 3 =147 48 10 cm a 3 8cm 8cm 6cm 12 cm a 3 +(p_5 2 -p_4 2 ) =106p(cm 2 ) 7 - =;3!;_50_50_50-;3!;_20_20_20 =39000(cm 3 ) 8 =4p_3 2 =36p(cm 2 ) =2p_3_6 =36p(cm 2 ) 36p36p=11 =;3$;p_3 3 =36p(cm 3 ) =;3!;_p_3 2 _6 =18p(cm 3 ) =p_3 2 _6 =54p(cm 3 ) 36p18p54p=213 p_3 2 _2+36p=54p(cm 2 ) ;3!;_p_12 2 _16-;3!;_p_6 2 _8 =672p(cm 3 ) p_12 2 +p_6 2 +(p_12_20 -p_6_10) =360p(cm 2 ) 11 =(p_6 2 -p_4 2 )_2+2p_6_20 +2p_4_20 =440p(cm 2 ) 10 cm 10 cm 12 cm 6cm =p_6 2 _20-p_4 2 _20 05 79
=400p(cm 3 ) 12 H H H H HH H H 15 pr 2 _4r=256pr 3 =64 r=4 ;3$;p_4 3 =;:@3%:^;p(cm 3 ) l 5cm 3cm 13 l 13 cm 12 cm 2p_5_3=30p(cm 2 ) p_5 2 _3-;3!;_p_5 2 _3 =50p(cm 3 ) 5cm 16 l =p_5 2 _12-;3!;_p_5 2 _12 2cm =200p(cm 3 ) 13 cm 3cm 3cm 4cm 1cm 12 cm p_4 2 _2+2p_4_3+2p_3_2 =68p(cm 2 ) 5cm =p_5 2 +2p_5_12+p_5_13 =210p(cm 2 ) 14 rcm hcm 2prh=4pr 2 _2 h=4r 256pcm 3 17 ;2!;_(3+5)_3_20-p_{;2!;} 2 _20 =240-5p(cm 3 ) 18 P O P + O ={;3!;_p_4 2 _9}_;4#; 80
+;3!;_{;2!;_4_4}_9 =36p+24(cm 3 ) 19 (SS ) =60 a 3 -;3!;_{;2!;_a_a}_a=;6%;a 3 20 =(3_8)_2+(3_3)_2 +(1_2_9)_2 =102(cm 2 ) =(2_1_1)_24=48(cm 3 ) =(3_4)_2-p_1 2 _;2!;_2 +(3_5)_2+(4_5)+(2_5) +2p_1_;2!;_5 =4p+84(cm 2 ) =4_3_5-;2!;_p_1 2 _5 =60-;2%;p(cm 3 ) 21 2p_5_12=120p(cm 2 ) ;3!;_p_5 2 _12=100p(cm 3 ) hcm p_5 2 _h=100p h=4 ;3!; 12_;3!;=4(cm) ;2!; cm ;2!;_5_12 =;2!; 6+;2!;_(+5)_6 =;2%; ;2!; ;3!;_p_{;2%;} 2 _6=: 2 :p(cm 3 ) 100p : 2 :p=8 22 rcm 4 2pr=8 r= p hcm 4 16 h=8-2_2r=8-4_ =8- p p =pr 2 h 4 =p_{ } 2 16 _{8- } p p 16 16 = {8- } p p 128 2 = {1- }(cm 3 ) p p 23 μ =2p_6_;4!;=3p(cm) 3cm Q P O 6cm R QPRP PQ=PR=90 P 05 81
O O(SS) O=O QP RP(S) PQ =PR =;2!;_6=3(cm) QPR=90 PQR=;2!;_3_3=;2(;(cm 2 ) 6cm 10cm ;4!; =p_6_10_;4!;=15p(cm 2 ) = O - PO =;3!;_p_6 2 _8_;4!; -;3!;_;2!;_6_6_4 =24p-24(cm 3 ) 24 2cm 4cm cm 4cm 6cm ;2!;_6_8=;2!; 4+;2!;_(+6)_4 =3 =;3!;_12_12_8-;3!;_6_6_4 =336(cm 3 ) =;2!;_(6+12)_5_4+6_6+12_12 =360(cm 2 ) 25 (9_9-3_3)_6+3_3_4_6 =648(cm 2 ) 26 ;1ª6; rcm p_6 2 _;1ª6;=pr 2 r=;2(;( r>0) cm 9 2 27 cm ;2!;_6_8=;2!;_;2(;_(8-) ;2!;_6_8=+;2!;_{;2(;+6}_ =2 ab a 2 b 2 rcm ;1ª6;={;4#;} 2 r=6_;4#;=;2(; 10 cm 6cm l 5cm12 cm cm (8-)cm cm 82
;2!;_10_(12+) =;2!;_(5+10)_12+;2!;_5 =12 =;3!;_p_10 2 _24-;3!;_p_5 2 _12 =700p(cm 3 ) l l cm 3cm 4cm 2cm 3cm ;2!;_5_(4+) =;2!;_3+;2!;_(3+5)_4 3cm y cm 4cm cm 4cm (3-)cm (5-y)cm =6 =;3!;_p_5 2 _10-;3!;_p_3 2 _6 -p_3 2 _4 =;3!;_p_4 2 _y+;3!;_p_4 2 _ =: 3 :p(cm 3 ) +;3!;_p_4 2 _(3-) +;3!;_p_4 2 _(5-y) =;3!;_p_4 2 _(y++3-+5-y) =;3!;_p_4 2 _8 l 4cm y cm 2cm (6-)cm 6cm cm =: ;3@; :p(cm 3 ) l ;2!;_4_6+;2!;_2_ =;2!;_2_6+;2!;_4_(6-) =2 4cm 8cm ;2!;_4_6+;2!;_2_2 =;2!;_4_4+;2!;_2_2+;2!;_6_y y=;3$; =;3!;_p_4 2 _8=;:!3@:*;p(cm 3 ) =;3!;_p_4 2 _6+;3!;_p_2 2 _6 -;3!;_p_{;3$;} 2 _6 05 83
=: ;9@; :p(cm 3 ) 29 28 1 8 S 8 P Q 2 O 2 2 O QP(S) P =O =2cm 1 8 8 4 2 + - ={;3!;_p_8 2 _8-;3!;_p_2 2 _2} =+p_2 2 _4-;3!;_p_2 2 _2 =;:%3$:$;p ~ ª º { } =+ cm ;2!;_6_12 =;2!;_4_+;2!;_(4+6)_(12-) =8 =8cm =12-8=4(cm) =12+4=16(cm) { } 3cm 16+3=19(cm) ª º { } 12+6=18(cm) 18cm 30 QGHQPHR QHGR P S 84
PSQ R Q =P +R =4+4=8(cm) ={;3!;_8_8_8} =+[;3!;_;2!;_(4+10)_8_8] =+[;3!;_;2!;_(10+14)_8_8] =576(cm 3 ) O =O =8cm O ==45 O=180-45 -45 =90 45 ;4!;_p_8 2 _20+;2!;_8_8_20 =320p+640(cm 3 ) 14 cm 8cm 4cm 2 10 cm 8cm 18cm 8_8_18_;2!;=576(cm 3 ) V V 25 cm 20 cm V 1 p_(9 2-3 2 )=72p(cm 2 ) 45-20=25(cm) ;2!; 05 V 2 72pcm 2 20cm p.194~195 ;2!;_72p_25+72p_20 1 (320p+640)cm 3 2 2340pcm 3 3 36cm 3 4 7424cm 2 1 O 8cm 45 3 =900p+1440p=2340p(cm 3 ) I J H G G I G J IJ 05 85
J H K G H G G JH G K JK =;3!;_{;2!;_6_6}_3_2=36(cm 3 ) 4 1 2_(24_8+8_7+7_24) =2_(192+56+168)=832(cm 2 ) 1 8_8=64(cm 2 ) 4 5 64_5_4=1280(cm 2 ) =832_12-1280_2 =9984-2560=7424(cm 2 ) 86